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Finding the Fourth Proportional to 462.32, 693.84 and 377.36

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Solution

The fourth proportional to 462.32, 693.84 and 377.36 is: 566.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.32 : 693.84 = 377.36 : x
  2. Step 2: Convert to fraction form
    462.32/693.84 = 377.36/x
  3. Step 3: Cross multiply
    462.32x = 693.84 × 377.36
  4. Step 4: Simplify right side
    462.32x = 261,827.46
  5. Step 5: Solve for x
    x = 261,827.46/462.32
  6. Step 6: Final answer
    x = 566.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.